Magnetic phase diagram of a frustrated ferrimagnetic ladder: Relation to the one-dimensional boson Hubbard model

TL;DR

This paper investigates the magnetic phase diagram of a frustrated ferrimagnetic ladder, revealing phases analogous to the one-dimensional boson Hubbard model, using numerical and analytical techniques.

Contribution

It introduces a detailed phase diagram for a frustrated ferrimagnetic ladder, connecting it to the boson Hubbard model and employing spin-wave and numerical methods.

Findings

Identified Luttinger liquid, plateau, and polarized phases.

Mapped the phase diagram to the boson Hubbard model.

Used spin-wave series and exact diagonalization techniques.

Abstract

We study the magnetic phase diagram of two coupled mixed-spin $(1,{1/2})$ Heisenberg chains as a function of the frustration parameter related to diagonal exchange couplings. The analysis is performed by using spin-wave series and exact numerical diagonalization techniques. The obtained phase diagram--containing the Luttinger liquid phase, the plateau phase with a magnetization per rung $M=1/2$, and the fully polarized phase--is closely related to the generic $(J/U,\mu/U)$ phase diagram of the one-dimensional boson Hubbard model.